Find the circumference of the circle. Use 3.14 or
for ? as indicated.Use 3.14 for ?.
A. 263.76 yd
B. 65.94 yd
C. 131.88 yd
D. 5,538.96 yd
Answer: C
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. The mountainside rises in all directions relative to the dip. B. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. C. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point. D. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent.
Solve the problem.A ramp leading to the entrance of a building is inclined upward at an angle of 8°. A suitcase is to be pulled up the ramp by a handle that makes an angle of 31° with the horizontal. How much force must be applied in the direction of the handle so that the component of the force parallel to the ramp is 50 lbs.?
A. 46.03 lbs B. -7.953 lbs C. 15.00 lbs D. 57.76 lbs
Solve the problem.A bank loaned out $54,000, part of it at the rate of per year and the rest at a rate of
per year. If the interest received was $1595.00, how much was loaned at
A. $33,000 B. $32,000 C. $22,000 D. $21,000
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(3, 4); m = - 5
A. y = - x + 19
B. y = -5x + 19
C. y = -5x +
D. y = -5x - 19